State Constrained Fault-Tolerant Control of Hypersonic Vehicle With Unknown Centroid Shift Based on Zero-Sum Game

For hypersonic vehicle (HSV), this research provides a unique fault-tolerant control (FTC) strategy that keeps the aircraft stable and safe even in the face of an unknown centroid offset. In terms of the challenges of variation of the inertial matrix, eccentric moment, and coupling system uncertainty deriving from centroid shift, a time-varying state-constraint function is created to constrain the motion state of the aircraft for ensuring safety. Furthermore, a value function based on adaptive dynamic programming is constructed to represent the distance between the system state and the constraint boundary in the security constraint domain. This value function is used to construct a zero-sum game with the optimal control of the system to achieve optimal error FTC of the state constraint of the aircraft. By using the backstepping control framework and Lyapunov stability theory, it is confirmed that the proposed FTC scheme ensures that all the closed-loop signals are bounded. Ultimately, simulations are carried out to demonstrate the benefits of the proposed FTC strategy.